Modern Defense Technology

Supernetwork Modeling and Interaction Mechanism of Missile Defense System-of-Systems

Jian LUO, Xiao-hong YU, Wei JIANG, Jie-juan WANG, Xiao-wei CHEN

2022, 50(3): 1-9. doi:10.3969/j.issn.1009-086x.2022.03.001

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Aiming at missile defense system-of-systems process， based on complex network， the application of missile defense system-of-systems is abstracted topologically， and the supernetwork modeling of the application of missile defense system-of-systems is built， which is composed of accusation subnet， information subnet， engagement subnet and sensor subnet. The static interaction mechanism of models is analyzed deeply， and the nodes interaction relationship is described mathematically. The dynamic interaction mechanism of the models is analyzed based on the time sequence of operation phases， and the characteristic parameters reflecting the network evolution characteristics between subnet and internal subnet are extracted. The simulation results show the overall characteristic value such as network density of the network changes in phases， and the information flow changes regularly with phases tasks， as well as the role and status of each node， which is a useful exploration for the following optimization problems.

Exploring the Problem of UUV Launching Submarine-to-Air Missiles

Wen-min JIANG, Lin-ping FENG, Liang QU

2022, 50(3): 10-16. doi:10.3969/j.issn.1009-086x.2022.03.002

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Submarine has been in an asymmetric situation of being suppressed in the face of airborne ASW threats. With the improvement of anti-submarine forces in the air，the pressure of submarine air defense has been increasing. Based on effective countermeasures against the threat posed by airborne ASW forces to submarines， the concept of using UUV to launch submarine-to-air missiles is introduced through comparative analysis of the operational performance about submarine and air force platforms， referring to the mature experience of UUV launching torpedoes. The advantages of launching submarine-to-air missiles by UUV are analyzed，and the feasibility analysis of the technical basis and technical difficulties of launching submarine-to-air missiles by UUV are also carried out.

Threat Assessment Method of Air Attack Target Based on Clustering Combination Weighting

Wei LI, Ying-qi LU

2022, 50(3): 17-24. doi:10.3969/j.issn.1009-086x.2022.03.003

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Aiming at the shortcoming that the weight coefficient determined by a single expert is too subjective when the AHP method is used to determine the index weight in the current air attack target threat assessment， an air attack target threat assessment method based on cluster combination weighting is proposed. The group AHP method based on cluster analysis is used to determine the expert weight from the two aspects of expert experience ability and the degree of knowledge of a given problem， and then obtains the subjective weight of the indicator； by combining with the objective weight obtained by the coefficient of variation method， the final weight is obtained， and then a fuzzy comprehensive assessment model introducing the Einstain operator is constructed to calculate the threat degree value of the target. The effectiveness and rationality of the method are proved by simulation experiments and comparative analysis.

Research on Optimization of Terminal Anti-missile Equipment Resource Allocation

Wei-jun YU, Zhao-hui SHI, Feng ZHOU, Jing-tai LI

2022, 50(3): 25-31. doi:10.3969/j.issn.1009-086x.2022.03.004

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As an important link in the terminal high-and-low-level anti-missile operations， the pre-war optimal allocation of equipment resources directly determines the lower limit of anti-missile combat effectiveness. It also greatly increases the upper limit of anti-missile combat effectiveness. In the face of complex and changeable air and space threats， the resources of anti-missile equipment are always limited. How to intercept incoming targets through configuration optimization is of great research significance. The concept of defense benefits is proposed and the terminal anti-missile equipment resource allocation model is established by taking the incoming ballistic missiles as imaginary scenario，and considering the defense targets and the effectiveness of anti-missile weapons and equipment，The specific models are solved by using the Beetle Antennae Search （BAS）. The optimized configuration plan of the specific calculation example is obtained， which has certain reference significance for the pre-war planning of the regional anti-missile warfare.

Application of Improved HHT Algorithm in Missile Working Mode Identification

Jin-song XIE, Lin XUE, Qing-feng GAO

2022, 50(3): 32-39. doi:10.3969/j.issn.1009-086x.2022.03.005

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The key to improving the accuracy of vibration mode identification is to improve the separation accuracy of dense natural modes. Based on the analysis of the sieving results of ensemble empirical mode decomposition （EEMD）， this paper proposes a multi-noise method. The improved sieving algorithm， combined with the Hilbert Transform（HT） method， is applied to the identification of missile operating modes. Compared with the sieving results of empirical mode decomposition and ensemble empirical mode decomposition algorithms， the new algorithm reduces the error and effectively suppresses the phenomenon of modal aliasing. Compared with the logarithmic decay method， the Hilbert transform is used for mode identification， which improves the parameter identification accuracy， and can identify the variation law of natural frequency with time， which is more suitable for analyzing the time-varying missile working mode. This research can provide a reference for solving the modal aliasing problem in signal processing.

A Comprehensive Performance Optimization Method for Guidance System

Ying-bo LI, Li-li TAN, Zhuo LIANG, Kai-xuan WANG, Yan-peng PAN

2022, 50(3): 40-46. doi:10.3969/j.issn.1009-086x.2022.03.006

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The guidance system of air defense missile contains many index elements. The current optimization of the guidance system is often only for a specific index， but the optimization of a single index does not mean the optimal comprehensive performance， or even the situation that a single index is better but the comprehensive performance of the system decreases. Therefore， it is necessary to establish the mathematical relationship between comprehensive performance and each index， and find an optimization algorithm to meet the needs of comprehensive performance optimization and relevant constraints of index elements at the same time. Taking Patriot-3 air defense missile as the research goal， the performance evaluation system of guidance system is established. A combined simplex and augmented Lagrangian method is used to optimize the guidance system with respect to the process constraints and objective functions. The simulation results show that this method can effectively improve the comprehensive performance of the guidance system.

Three-Dimensional Optimal Guidance Law for Non-Linear Systems with Large Constrained Impact Angles

Yue ZHU, Jun-yan XU, Xiao-dong WANG, Xun SONG, Meng-yi WANG

2022, 50(3): 47-54. doi:10.3969/j.issn.1009-086x.2022.03.007

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In order to satisfy impact angle constraints and reduce energy cost under salvo attacks against high-speed non-maneuvering targets， a three-dimensional coupled model is established， and a 3D energy optimal guidance law for non-linear systems with large constrained impact angles is proposed. The reasons for the low accuracy of 3D decoupled model are discussed， and a 3D coupled model is established. Based on this model， the appropriate control variables are chosen， and the 3D energy optimal guidance law under large impact angle constraints is derived， based on minimum principle. Experimental results indicate that the performance of the proposed coupled model on miss distance， impact angle error and energy cost has improved 0.7 m，1.1°，200 g compared with decoupled model. It can prove the advantages of the guidance law on control precision and energy cost.

Research on Anti-Intercept Technology Based on WFrFT and Modulation Hopping

Yi-chao GUO, Jian FENG, Tao ZHANG

2022, 50(3): 55-60. doi:10.3969/j.issn.1009-086x.2022.03.008

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Aiming at the technical problems of simple anti-interception method and insufficient anti-interception ability in traditional spread spectrum， frequency hopping and time hopping techniques，， an anti-intercept technology based on weighted-type fractional Fourier transform（WFrFT） and modulation hopping is proposed. The properties of the original signal have been changed with the constellation rotation， expansion and diffusion by WFrFT. Meanwhile， combined with modulation hopping technology， different carrier frequencies correspond to different signal modulation modes. The proposed method improves the confidentiality and security of information transmission in the complex and changeable electromagnetic environment.

Air Target Comprehensive Identification Method Based on Airspace Coordinating Measures

Zhi-yuan CHEN, Di SHEN, Fu-ping YU, Rui-si TAN, Tian-yu YANG, Yi-heng HUANG

2022, 50(3): 61-77. doi:10.3969/j.issn.1009-086x.2022.03.009

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In order to improve the identification capability of air targets and promote the efficiency of joint operations， a air target comprehensive identification method based on airspace coordination is proposed from the perspective of battlefield airspace control. The basic connotation， operational tasks and implementation methods of battlefield airspace control are introduced， and the internal relationship between air target comprehensive identification and battlefield airspace control is clarified. A brief description of the U.S. Forces air target hostile identification idea is given around airspace coordination measures， and introduces the basic concept， identification process and identification logic of air target comprehensive identification. Based on mathematical tools such as D-S evidence theory， the engineering application of air target comprehensive identification is investigated. The reliability of the method is verified by example calculations， which can provide some references for related researches.

“Chaff Chain” Operation Method for Anti-missile Centroid Jamming of Warship

Shao-rong PENG, Sheng-liang HU, Jiang-hu XU, Lin-gang WU

2022, 50(3): 78-83. doi:10.3969/j.issn.1009-086x.2022.03.010

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Aiming at the problems of traditional chaff centroid jamming， a "chaff chain" operation method is proposed based on "depolarization" phenomenon and "large target" effect. Based on the application scenario of chaff chain， the relationship between deployment length and deployment situation is further analyzed， and the operation method of chaff chain against secondary attack anti-ship missiles is proposed. The operational style has been verified in practice to effectively counter the new anti-ship missiles which have the capability of chaff identification and secondary attack.

Phase Compensation Accumulation Method Based for Radar Echo Splitting

Yan DAI, Dan LIU, Qing-rong HU, Cheng-zeng CHEN, Yue-xun WANG

2022, 50(3): 84-89. doi:10.3969/j.issn.1009-086x.2022.03.011

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As the radar bandwidth increases， the energy of a single pulse is dispersed into different range units， resulting in echo splitting. At this time， the signal to noise ratio（SNR） decreases， which is not conducive to target detection. For this problem， an echo phase compensation method is proposed. Taking two scattering points as examples， the echo of scattering points at different relative distances is analyzed to obtain their phase relations. Based on the analysis results， the phase compensation process is carried out for the echo of linear frequency modulation（LFM） signal， and the echo signal scattered in different distance units is accumulated effectively， which improves the SNR and the detection probability. The effectiveness of the method is verified by Monte-Carlo simulations.

Optimization Method of Operational Test Index Set Based on Rough Set and Genetic Algorithm

Xiao-wei CHEN, Chao YANG, Zi-li JI

2022, 50(3): 90-96. doi:10.3969/j.issn.1009-086x.2022.03.012

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The optimization of operational test indexes plays an important role in simplifying test subjects， saving test resources and shortening test cycle. For the coexistence of a large number of qualitative and quantitative indicators in the operational test system， an optimization method of operational test index based on rough set and genetic algorithm is proposed. Based on the initial frame of operational test index system， the decision information table of operational test index system is built， and its attributes are reduced by rough set and genetic algorithm to obtain a simplified index set. The method is verified by a fire operational effectiveness test case of anti-aircraft gun weapon.

Evaluation Method of Missile Saturation Ability Based on Attack-Defense Countering Sequence

Yong LIU, Hong-chao ZHOU, Zhao YANG, Jin XU

2022, 50(3): 97-102. doi:10.3969/j.issn.1009-086x.2022.03.013

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For the effectiveness evaluation problem of missile saturation attacking mode， a simulation method based on attack-defense countering sequence is proposed under “many-to-many” condition. Under the described models of attacking missile and anti-missile firepower unit， the target allocation rules and allocation models are established. The fire channel saturation degree is outlined for describing the attacking target intensive degree， considering factors such as intercepting window， target channel occupation and release. The attacking success probability sequence is calculated fast using predictive impact point method， the saturation ability is evaluated based on attack-defense aspects and finally the engineering simulation flow is outlined. The applicability of the method under different conditions is verified under typical scenario settings， and can be used to guide the construction of attack-defense confrontation system.

Stress Analysis of Load-Bearing Parts of a Launch Vehicle Based on Finite Element Simulation Technology

Tao LIU, Zhi-cheng LI, Zi-keng XIE, Zhou JIA

2022, 50(3): 103-108. doi:10.3969/j.issn.1009-086x.2022.03.014

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In order to determine the key parts of the mechanical damage detection of leveling and erecting device of a missile launch vehicle， the finite element stress analysis experiment of load-bearing parts is carried out. The forces of the leveling cylinder and the lifting load bearing lug base are analyzed and used as the mechanical input of the finite element simulation. The three-dimensional structural model is established and imported into the ANSYS simulation software to carry out the finite element simulation of the leveling and lifting process. The results show that the inner side of the leveling cylinder， the circular hole of the load bearing lug and the connection between the base and the rib plate are the stress concentration areas， which should be focused on damage detection.

Lateral Maneuver Path Planning of Two UAV Formation Air Combat

Feng-chu SUN, Xu-sheng GAN

2022, 50(3): 109-118. doi:10.3969/j.issn.1009-086x.2022.03.015

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The lack of autonomous decision-making ability of UAV has always been the main factor restricting UAV to enter the field of air combat. In a large number of existing research， action store combined with machine learning algorithm is mainly used to realize UAV air combat maneuver decision. However， the quality of UAV training will greatly affect the effect of maneuver decision. Using heuristic algorithm to construct the attack path of UAV lateral maneuver can get rid of the dependence on training method， and has strong expansibility in the future， which is easy to optimize. Based on the A-star algorithm， a path planning algorithm for UAV lateral maneuver decision-making in medium range air combat is proposed. The algorithm can plan position and speed of UAV. Through the formulation of the two aircraft cooperation strategy， the target allocation algorithm in the two UAV is designed， which can expand the UAV single aircraft confrontation to the scenario of two aircraft confrontation. Through the simulation experiment， the feasibility of the algorithm in achieving tactical effect and decision efficiency is verified.

Research on Erecting Strategy of Double Motor Synchronous Drive Electric Cylinder Based on Fuzzy Active Disturbance Rejection

Jun-qiao CHEN, Xiao-jun WANG, Chen-jun CUI, Hai-yue WANG

2022, 50(3): 119-126. doi:10.3969/j.issn.1009-086x.2022.03.016

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Aiming at the poor anti-interference of traditional process identifier（PID） control algorithm， a control strategy of double motor synchronous drive electric cylinder erection based on fuzzy active disturbance rejection control（ADRC） is proposed. By designing a fuzzy ADRC， the system disturbance is observed and compensated in real time； the dual motor synchronous control is realized by cross coupling control strategy； the joint simulation is completed based on Matlab / Simulink and Adams platform. The simulation results show that compared with the traditional PID control strategy， the dual motor synchronous control algorithm based on fuzzy ADRC has better dynamic and static response performance， and stronger robustness and synchronization to load disturbance.

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